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A349268
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Generalized Euler numbers, a(n) = n!*[x^n](sec(9*x)*(4*sin(3*x) + 2)*cos(3*x)^2).
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4
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2, 12, 126, 2160, 49410, 1415232, 48649086, 1951153920, 89434106370, 4611775398912, 264235243691646, 16653520425185280, 1145011717430672130, 85285640517460180992, 6841110155700330881406, 587950108643300554506240, 53899295662946509072626690, 5249943672359370392053481472
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OFFSET
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0,1
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COMMENTS
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For references and cross references, compare the overview in A349264.
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LINKS
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MAPLE
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sec(9*x)*(4*sin(3*x) + 2)*cos(3*x)^2: series(%, x, 20): seq(n!*coeff(%, x, n), n = 0..17);
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MATHEMATICA
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m = 17; CoefficientList[Series[Sec[9*x] * (4 * Sin[3*x] + 2) * Cos[3*x]^2, {x, 0, m}], x] * Range[0, m]! (* Amiram Eldar, Nov 21 2021 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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